document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008403>Question 1008403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your company will have a year-end outing in Palawan for five days. The organizing committee plans to have these activities during the outing; 2 days for island hopping; 1 day for a visit to Puerto Princesa Underground River; and another 2 consecutive days for team building and other fun activities. List all the possible itineraries for the company's outing and how many itineraries are possible? show solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624299 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=624299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is like asking how many different five-letter arrangements can be made from the letters A, A, B, C, and C.  Call island hopping A, Puerto visit B, and team building C.\r<BR>\n" );
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document.write( "You find this by calculating<BR>\n" );
document.write( "5!/(2!)(2!) = 30 different ways to have an itinerary.\r<BR>\n" );
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document.write( "Listing them should not be difficult, just a bit time-consuming...start by listing<BR>\n" );
document.write( "AABCC<BR>\n" );
document.write( "ABACC<BR>\n" );
document.write( "ABCAC<BR>\n" );
document.write( "ACABC<BR>\n" );
document.write( "ACACB<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "There should be thirty in all. </SPAN>\n" );
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